Question

In a single phase full bridge voltage source inverter, the total harmonic distortion is (Assume the output voltage as a square wave)

• A. $\sqrt{\frac{{\pi }^2}{4}-1}$
• B. $\sqrt{\frac{\pi -4}{\pi }}$
• C. $\sqrt{\frac{\pi }{2\sqrt{2}}}$
• D. $\sqrt{\frac{{\pi }^2}{8}-1}$

Answer 1

The correct option is D $\sqrt{\frac{{\pi }^2}{8}-1}$

Total harmonic distortion $=\sqrt{{\left(\frac{V_{0r}}{V_{1r}}\right)}^2-1}$
$=\sqrt{{\left(\frac{V_s}{\frac{2\sqrt{2}{V}_s}{\pi }}\right)}^2-1}=\sqrt{\frac{{\pi }^2}{8}-1}$